[6] He did not compete internationally during the 2020–21 figure skating season due to the 2020–21 ISU Junior Grand Prix circuit being cancelled as a result of the ongoing COVID-19 pandemic.

[7] Prior to the start of the season, the Denis Ten Academy was founded and Jirenbayev decided to transfer on over to the new skating club.

[3] He began the season by competing on the 2021–22 ISU Junior Grand Prix circuit, finishing ninth at 2021 JGP Slovakia.

At the event, Jirenbayev would place twenty-seventh, failing to qualify a spot for Kazakhstani men's singles skaters at the 2022 Winter Olympics.

[6][8][9] Jirenbayev would go on to compete at the 2021 CS Denis Ten Memorial Challenge and the 2021 Santa Claus Cup, placing tenth and fifth, respectively.

[6] Jirenbayev started the season by competing on the 2022–23 ISU Junior Grand Prix circuit, finishing ninth at 2022 JGP Italy.

[6] Selected to compete at the 2024 Four Continents Championships in Shanghai, China, Jirenbayev would place sixteenth at the event.